Solve this equation: -3(x - 14) + 9x = 6x +42
O
Solving this equation results in the statement 0 =0. Because this is a true statement, the equation has a unique solution
O
Solving this equation results in the statement 6 = 0. Because this is a false statement, the equation has infinitely many solutions.
O
Solving this equation results in the statement 0 = 0. Because this is a true statement, the equation has infinitely many solutions.
Solving this equation results in the statement 6 = 0. Because this is a true statement, the equation has no solution

The value of the angle x is equal to 98°.

Given that the figure attached below.

To find the angle x, follows sum steps as:

Draw one parallel line between the given parallel lines with intersect the point x.

By linear sum,

Angle 1 on below parallel line is 180° - 144° = 36°.

Angle 2 is equal to angle 1, that is, angle 2 is equal to 36°.

Angle 3 on centre parallel line is equal to 62°.

So, the angle x is calculated as:

x = Angel 2 + Angle 3

x = 36° + 62°

x = 98°

Hence, the required angle is equal to 98°.

Learn more about Angle here:

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Answer: 0

Step-by-step explanation:

Use rules of logarithms to condense.

Answer:

a) root77

b) 2 root77 / ~17.55 cm^2

Step-by-step explanation:

a) by using Pythagorean Theroem,

a^2 + b^2 = c^2

2^2 + b^2 = 9^2

4 + b^2 = 81

81 - 4 = b^2

77 = b^2

root77 = b

b) 1/2bh is the quation for area thus,

area = 1/2 ( 4 ) ( root77)

area = 2 root77

or area = ~17.55 cm^2

h = [tex]\sqrt{77}[/tex]

A =[tex]2\sqrt{77}[/tex]

Rules for solving this problem:

Isosceles triangle rules

Because of isosceles being made up of two right triangles; using the pythagorean theorem we can deduce that

Area of a triangle

Step 1 - Find the height

[tex]h =\sqrt{9^2 - ((1/2)AC)^2} = \sqrt{9^2 - ((1/2)~4)^2} = \sqrt{9^2 - 2^2} = \sqrt{81-4} = \sqrt {77}[/tex]

Step 2 - Find the area

[tex]A = \frac{1}{2}bh = (\frac{1}{2})(4)(\sqrt{77}) = 2 \sqrt{77}[/tex]

Hope this helps,

  - J.M.Jamon

        Pennsylvania State University

        Full-time B.S.CE. undergrad student

Answer:

x = 20

Step-by-step explanation:

these angles are supplementary, which means they add up to 180°

using this, you can make the following equation:

6x + 60 = 180

subtract 60 from both sides of the equation

6x + 60 - 60 = 180 - 60

6x = 120

divide both sides of the equation by 6

6x/6 = 120/6

x = 20

Answer:

3/2 = 1 1/2

Step-by-step explanation:

3/4 * 2

Make 2 a fraction

3/4 * 2/1

Rewrite

3/1 * 2/4

3/1 * 1/2

Multiply

(3*1)/(2*1/)

3/2

Changing from a fraction to a mixed number

1 1/2

Answer:

-36

Step-by-step explanation:

4(-8-3*(1/3)) = 4(-8-1) = -36

Answer:

3

Step-by-step explanation:

Answer:

5x-1

Step-by-step explanation:

Answer:

One solution, as there is only one intersection between these two lines.

x = 2, and y = 1 (point of interesection (2, 1) )

y = 2x-3

y = -x + 3

first step is to substitute the y of one equation into the other and solve for x.

- x + 3 = 2x - 3

___________

+x. +x

_____________

3 = 3x-3

_____________

+3 +3

____________

6 = 3x

_____________

÷3 ÷3

_______________

2 = x

______________

x = 2

_______________

We can verify this value is true by substituting it back into the equations and as a result also solving for the working y value.

x = 2 -> y = 2(x) - 3

2(2) - 3 = 4 - 3 = 1

y = 1

____________

x = 2 -> y = -(x) + 3

-(2) + 3 = -2 + 3 = 1

y = 1

Answer:

Step-by-step explanation:

Bringing like terms on one side

-10 = - 4x - x

-10 = - 5x

-10/-5 = x

2 = x

Answer: A) yes; -2/3

Step-by-step explanation: -2/3, -4/6 = -2/3, -6/9 = -2/3

Answer: 4 is the correct answer

Step-by-step explanation:

12x+5=4x+37

12x-4x=37-5

8x=32

x=32/8

x=4

Answer:

x = 4

Step-by-step explanation:

First you look at the two values of the equation, so the difference between the difference of the two variables is 32, ( 37 - 5 ) then we know that ( 12x - 4x ) 8x . So we know that 8x equals to 32, so ( 32/8 ) equals to x = 4.

Answer:

no solution

Step-by-step explanation:

x=(16-2y)/7

-21*(16-2y)/7-6y=24

-3(16-2y)-6y

-48+6y-6y=24

-48=24

you can't solve for the variables

There is no solution for given system of equations.

The given equations are,

                      [tex]7x+2y=16\\\\x=\frac{16-2y}{7}[/tex]

Another equation is, [tex]-21x-6y=24[/tex]

Substitute value of x in above equation.

               [tex]-21(\frac{16-2y}{7} )-6y=24\\\\-48+6y-6y=24\\\\-48\neq 24[/tex]

Thus, there is no solution for given system of equations.

Learn more about the system of equations here:

https://brainly.com/question/13729904

Answer:

The additive inverse of −3 is +3, so 16 − (−3) = 19

negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units

Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers are the explanation.

Comment on the second question

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

Comment on choosing 'word' answers

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

have a good day hope this helped!

Simplifying

3(x + -5) + -4 = 17

Reorder the terms:

3(-5 + x) + -4 = 17

(-5 * 3 + x * 3) + -4 = 17

(-15 + 3x) + -4 = 17

Reorder the terms:

-15 + -4 + 3x = 17

Combine like terms: -15 + -4 = -19

-19 + 3x = 17

Solving

-19 + 3x = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '19' to each side of the equation.

-19 + 19 + 3x = 17 + 19

Combine like terms: -19 + 19 = 0

0 + 3x = 17 + 19

3x = 17 + 19

Combine like terms: 17 + 19 = 36

3x = 36

Divide each side by '3'.

x = 12

Simplifying

x = 12

Answer:

x = - 9, x = - [tex]\frac{1}{6}[/tex], x = 4

Step-by-step explanation:

To obtain the zeros, equate f(x) to zero, that is

(x + 9)(x - 4)(6x + 1) = 0

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

6x + 1 = 0 ⇒ 6x = - 1 ⇒ x = - [tex]\frac{1}{6}[/tex]

Answer:

c and d. just did the lesson and its those two.

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

Answer:

that look like  complementry and supplementry angles

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

Answer:

The second reason is incorrect.

It should be "Transitive Property of Congruence"

Answer:

Reason 2 ( got it correct on my test)

Step-by-step explanation:

The reason must justify its corresponding statement.

Answer:

s =  − 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

It is 34 and 36.

Step-by-step explanation:

Answer:

10n+2

Step-by-step explanation:

Distributive property, 2(5n)+2(1)=10n+2

Answer:

The answer is 10n+2

Answer:

B. (-1,-1)

Step-by-step explanation:

Both lines are intersecting at this point.

Answer:

Step-by-step explanation:

[tex]y = 4x + 3 \\ y = - x - 2[/tex]

Arrange and solve

[tex] - 4x + y = 3 \\ x + y = - 2 \\( x,y)=( - 1, - 1)[/tex]

(

Answer:

A

Step-by-step explanation:

Originally, Mei pays $24 for 12 issues.

Therefore, the cost per issue is:

[tex]c=\frac{\$24}{12\text{ issue}}=\$2\text{ per issue}[/tex]

With the coupon, Mei pays the same amount of $24 but for 15 issues.

So, the cost per issue now is:

[tex]c=\frac{\$24}{15\text{ issues}}=\$1.60\text{ per issue}[/tex]

Therefore, the coupon lowered the price of the issue by $0.40.

Our answer is A.

Answer: The coupon lowered the cost per issue by $0.40.

Original price of issue: $2

24 ÷ 12 = 2

Mei added 3 more issues, but she still pays $24.

The answer is A.

Hope this helps you!

Answer:

x = −7

Step-by-step explanation:

2x + 3 = x − 4

Subtract 3 from both sides of the equation

2x = x −7

Subtract x from both sides of the equation

x = −7

Answer:

X=7

Step-by-step explanation:

Step 1  

Having all the  

x

terms on one side of =

Subtract  

2 x

from both sides

2 x − 2 x + 3 = 3 x − 2 x − 4

0 + 3 = x − 4

Swap round

x − 4 = 3

Step 2  

Have just  

x

on the left of =

Add  

4

to both sides

x − 4 + 4 = 3 + 4

x = 7